Online GCD Calculator is useful to find the GCD of 389, 735, 744, 105 quickly. Get the easiest ways to solve the greatest common divisor of 389, 735, 744, 105 i.e 1 in different methods as follows.
Given Input numbers are 389, 735, 744, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 389 :
The positive integer divisors of 389 that completely divides 389 are.
1, 389
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (389, 735, 744, 105) = 1.
Given numbers are 389, 735, 744, 105
The list of prime factors of all numbers are
Prime factors of 389 are 389
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 389, 735, 744, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(389, 735) = 285915
GCD(389, 735) = ( 389 x 735 ) / 285915
= 389 / 735
= 389
Step2:
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
= 1 / 744
= 1
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 389, 735, 744, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 389, 735, 744, 105
The greatest common divisor of numbers 389, 735, 744, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 389, 735, 744, 105 is 1.
1. What is the GCD of 389, 735, 744, 105?
GCD of given numbers 389, 735, 744, 105 is 1
2. How to calculate the greatest common divisor of 389, 735, 744, 105?
We can find the highest common divisor of 389, 735, 744, 105 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 389, 735, 744, 105 i.e 1.
3. How can I use the GCD of 389, 735, 744, 105Calculator?
Out the numbers 389, 735, 744, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.